Add and Subtract Mixed Numbers with Unlike Denominators

When the denominators are not the same, I must find a...

• common numerator

• common denominator

• equivalent fraction

• mixed number

Solve the following problem: If you have 2 1/3 pizzas and you eat 1 2/5 pizzas, how many pizzas do you have left?

• 1 1/6

• 2 3/5

• 3 1/2

• 0 14/15

If you have 3 3/4 yards of fabric and you use 2 2/3 yards, how much fabric do you have left?

• 3 1/2 yards

• 2 1/3 yards

• 5/4 yards

• 1 1/12 yards

What is the result of adding 4 1/2 and 3 2/3?

• 8 1/6

• 6 2/7

• 9 1/4

• 7 3/5

If you have 6 2/5 gallons of water and you use 3 3/4 gallons, how much water do you have left?

• 1 1/2 gallons

• 4 1/5 gallons

• 9 1/5 gallons

• 2 4/5 gallons

Solve the following problem: If you have 7 1/3 pounds of apples and you give away 4 2/5 pounds, how many pounds of apples do you have left?

• 2 7/15 pounds

• 3 1/3 pounds

• 1 4/5 pounds

• 5 2/3 pounds

What is the sum of 2 3/4 and 1 2/5?

• 5 1/3

• 2 4/9

• 4 3/20

• 3 1/2

What is the difference between 6 1/3 and 4 2/5?

• 3 1/2

• 10 5/8

• 8 3/4

• 2 7/15

If you have 5 3/4 liters of juice and you pour out 2 1/3 liters, how much juice do you have left?

• 4 2/3 liters

• 1 1/2 liters

• 2 3/4 liters

• 3 5/12 liters

Explain how to add fractions with unlike denominators.

• Find a common denominator, convert the fractions, and then add the numerators.

• Add the numerators and denominators directly.

• Multiply the fractions together.

• Subtract the smaller fraction from the larger one.

Answer explanation

To add fractions with unlike denominators, first find a common denominator. Then, convert each fraction to an equivalent fraction with this common denominator. Finally, add the numerators and keep the common denominator.